Devaney chaos plus shadowing implies distributional chaos

Devaney chaos plus shadowing implies distributional chaos

We explore connections among the regional proximal relation, the asymptotic relation, and the distal relation for a topological dynamical system with the shadowing property and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.

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Veröffentlicht in:Chaos (Woodbury, N.Y.) N.Y.), 2016-09, Vol.26 (9), p.093103-093103
Hauptverfasser: Li, Jian, Li, Jie, Tu, Siming
Format: Artikel
Sprache:eng
Schlagworte:
Chaos theory
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Zusammenfassung:We explore connections among the regional proximal relation, the asymptotic relation, and the distal relation for a topological dynamical system with the shadowing property and show that if a Devaney chaotic system has the shadowing property then it is distributionally chaotic.
ISSN:1054-1500
1089-7682
DOI:10.1063/1.4962131